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Finding the Third Proportional to 160,091 and 345,010

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Solution

The third proportional to 160,091 and 345,010 is: 743,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,091 : 345,010 = 345,010 : x
  2. Step 2: Convert to fraction form
    160,091/345,010 = 345,010/x
  3. Step 3: Cross multiply
    160,091x = 345,010 × 345,010
  4. Step 4: Simplify right side
    160,091x = 119,031,900,100
  5. Step 5: Solve for x
    x = 119,031,900,100/160,091
  6. Step 6: Final answer
    x = 743,526.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.